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Finding the Fourth Proportional to 423.84, 585 and 307.38

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Solution

The fourth proportional to 423.84, 585 and 307.38 is: 424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.84 : 585 = 307.38 : x
  2. Step 2: Convert to fraction form
    423.84/585 = 307.38/x
  3. Step 3: Cross multiply
    423.84x = 585 × 307.38
  4. Step 4: Simplify right side
    423.84x = 179,817.30
  5. Step 5: Solve for x
    x = 179,817.30/423.84
  6. Step 6: Final answer
    x = 424.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.